Lesson 7

Strain Transformations

Purpose of Lesson To develop the standard second-order tensor transformations for representing strains in rotated coordinate systems and to extend these transformations to higher order strain gradient quantities to provide a better understanding of the strain modeling characteristics of individual finite elements.

The availability of these transformations in a strain gradient context allows the strain modeling characteristics of individual finite elements to be identified with an a priori analysis during element formulation. This means that the characteristics of the strain representations can be found without performing a series of test problems in an attempt to identify the modeling deficiencies in an element. ...

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